Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154d |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1611800404867936998 = 2 · 312 · 11 · 1310 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-453599,100287543] |
[a1,a2,a3,a4,a6] |
Generators |
[-21845:1661014:125] |
Generators of the group modulo torsion |
j |
2138362647385537/333926700822 |
j-invariant |
L |
3.377666843432 |
L(r)(E,1)/r! |
Ω |
0.25547475530944 |
Real period |
R |
6.6105687024553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89232cm3 33462da3 122694cm3 858h3 |
Quadratic twists by: -4 -3 -11 13 |